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In analyzing data from over 700 games in the National Football League, economist David Romer identified...

In analyzing data from over 700 games in the National Football League, economist David Romer identified 1068 fourth-down situations in which, based on his analysis, the right call would have been to go for it and not to punt. Nonetheless, in 959 of those situations, the teams punted. Our goal is to find a 99% confidence interval for the proportion of times NFL teams punt on a fourth down when, statistically speaking, they shouldn’t be punting.1 Assume the sample is reasonably representative of all such fourth down situations in the NFL.

The standard error of the sample statistic in this situation is 0.009.


1Moskowitz, T. and Wertheim, J., Scorecasting, Crown Archetype, New York, 2011, p. 39.

What is the correct multiplier for our goal of finding a 99% confidence interval? Remember you can use StatKey or your notes to find this number.  

Round your answer to three decimal places.

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    Chapter 6, Section 1-CI, Exercise 022 Fourth Down Conversions in American Football In analyzing data from over 700 games in the National Football League, economist David Romer identified 1068 fourth-down situations in which, based on his analysis, the right call would have been to go for it and not to punt. Nonetheless, in 959 of those situations, the teams punted. Find a 95% confidence interval for the proportion of times NFL teams punt on a fourth down when, statistically speaking,...

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